tringle ABC, <B,<C. D is the midpoint of the side BC
1)Draw a figure based on the information
2)Show AC>AB
3)Prove AB+AC>2AD
Answers
Answer:
According to this figure and based on triangle law of vectors we can write following equations:
$AB+BD=AD$
$AC=AD+DC$
Summing the equations:
$AB+AC+BD=2AD+DC$........(1)
Since, D is the mid point 2BC=BD=DC
Equations (1) ⟹AB+AC=2AD
Hence Proved,
Answer:
Here is your answer dear
Explaination:
According to this figure and based on triangle law of vectors we can write following equations:
According to this figure and based on triangle law of vectors we can write following equations:$ AB + BD = AD $
According to this figure and based on triangle law of vectors we can write following equations:$ AB + BD = AD $$ AC = AD + DC$
According to this figure and based on triangle law of vectors we can write following equations:$ AB + BD = AD $$ AC = AD + DC$Summing the equations:
According to this figure and based on triangle law of vectors we can write following equations:$ AB + BD = AD $$ AC = AD + DC$Summing the equations:$ AB + AC + BD =2
According to this figure and based on triangle law of vectors we can write following equations:$ AB + BD = AD $$ AC = AD + DC$Summing the equations:$ AB + AC + BD =2 AD + DC$........(1)
According to this figure and based on triangle law of vectors we can write following equations:$ AB + BD = AD $$ AC = AD + DC$Summing the equations:$ AB + AC + BD =2 AD + DC$........(1)Since, D is the mid point
According to this figure and based on triangle law of vectors we can write following equations:$ AB + BD = AD $$ AC = AD + DC$Summing the equations:$ AB + AC + BD =2 AD + DC$........(1)Since, D is the mid point 2BC = BD = DC
According to this figure and based on triangle law of vectors we can write following equations:$ AB + BD = AD $$ AC = AD + DC$Summing the equations:$ AB + AC + BD =2 AD + DC$........(1)Since, D is the mid point 2BC = BD = DC Equations (1) ⟹ AB+ AC =2 AD